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catb.org
| | jdh.hamkins.org
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| | This will be a series of lectures on the philosophy of mathematics, given at Oxford University, Michaelmas term 2018. The lectures are mainly intended for undergraduate students preparing for exam ...
| | www.themathdoctors.org
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| | njwildberger.com
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| | Modern mathematics is enormously complicated and sophisticated. It takes some courage, and perhaps some foolishness, to dare to suggest that behind the fancy theories lie serious logical gaps, and indeed error. But this is the unfortunate reality. Around the corner, however, is a new and more beautiful mathematics, a more honest mathematics, in which everything...
| | bartoszmilewski.com
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| This is part of Categories for Programmers. Previously: Simple Algebraic Data Types. See the Table of Contents. At the risk of sounding like a broken record, I will say this about functors: A functor is a very simple but powerful idea. Category theory is just full of those simple but powerful ideas. A functor is...